Find the Domain y=1/4x-1

Problem

y=1/(4*x−1)

Solution

1. Identify the restriction for a rational function, which is that the denominator cannot be equal to zero.

2. Set the denominator expression equal to zero to find the excluded value of x

4*x−1=0

3. Solve for x by adding 1 to both sides.

4*x=1

4. Divide both sides by 4 to isolate x

x=1/4

5. Determine the domain by excluding this value from the set of all real numbers.

Final Answer

Domain: *{x|x∈ℝ,x≠1/4}

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